MAT 114 Review Chapter 2

1) Determine whether (-6, -1) is solution of the equation: 3x – 5y = –11

2) Given the function f(x) = – 2x2 + 9, find f(-1), f(a), f(a+3), f(a+h), f(a+h) – f(a)

3) Find the slope, x-intercept and y-intercept as ordered pairs for 3x – 6 y = 9

4) Identify whether the two graphs are parallel, perpendicular, or none 6x + 4y = -2 and 2y + 3x = 1

x 5) Find the domain for each function y = -2x + 1, y = x2, y = 6  x

6) Determine if the following graph is function or not function, then find the domain and range

7) Find the rate of change for the graph below. 8) Write a linear function that has the slope m = -2 and contains the point (0, 7)

13) Find an equation of the line that goes through these points (-2,1), and (-3, 5)

14) Find an equation of the line containing point (1,2) and perpendicular to the line 3y + 5 = 2x

15) Graph y = –x + 5 16) Graph –3x + 2y = 4

17) Graph x = -3 18) Choose the correct graph: y = x2 + 4

19) The function S(t) = 0.78 t + 5.12 can be used to estimate the sales of U.S. Saving Bonds, in billions of dollars, t year after 1998. ( t = 0 represents 1998) Estimate sales of U.S. Saving Bonds in 2009

20) For service call, TimTim Home Repair charged a $40 trip fee and $30 per hour for labor. a) Create a linear function that models the total cost of a service call C(x) where x is the number of hours. b) Use the function above to determine the cost of 4 hours service call.